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LCM of 860, 836, 520, 702, 808

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 860, 836, 520, 702, 808 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 860, 836, 520, 702, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,836,520,702,808

Given numbers are 860,836,520,702,808

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 860,836,520,702,808 is 12743925480.

Find LCM of 860,836,520,702,808 with Prime Factorization


2 860, 836, 520, 702, 808
2 430, 418, 260, 351, 404
2 215, 209, 130, 351, 202
5 215, 209, 65, 351, 101
13 43, 209, 13, 351, 101
43, 209, 1, 27, 101

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 13 x 43 x 209 x 1 x 27 x 101 = 12743925480

Therefore, the lowest common multiple of 860,836,520,702,808 is 12743925480.

LCM Formula to Find Lowest Common Multiple of 860,836,520,702,808

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

860 x 836 x 520 x 702 x 808 = 212058919987200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

808 : 1, 2, 4, 8, 101, 202, 404, 808

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,836,520,702,808, is 2.

Now, the common factors can be found like this.

860:2x 2x 5x 43

836:2x 2x 11x 19

520:2x 2x 2x 5x 13

702:2x 3x 3x 3x 13

808:2x 2x 2x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 212058919987200/(2x8320)

LCM = 212058919987200/16640

LCM = 12743925480

Thus, we can understand that the LCM of 860,836,520,702,808 is 12743925480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 836, 520, 702, 808

1. What is the LCM of 860, 836, 520, 702, 808?

Answer: LCM of 860, 836, 520, 702, 808 is 12743925480.

2. How to calculate the LCM of 860, 836, 520, 702, 808?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 860, 836, 520, 702, 808.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.